Question

Match the gas sample with each others.

a. has the highest average molecular speed
b. has the lowest average molecular speed
c. has an average molecular speed between the highest and the lowest

1. _________0.564 moles of Ne in a 5.33 L container at a temperature of 308K
2. _________0.658 moles of Ne in a 2.05 L container at a temperature of 426K
3. _________ 0.128 moles of Ne in a 5.69 L container at a temperature of 426K
4. _________0.322 moles Of Ne in a 4.00 L container at a temperature of 398K

Answer 1

a. The gas with the highest average molecular speed is the gas option 3.

b, The gas that has the lowest average molecular speed is the gas option 1.

c. The gas with average molecular speed between the highest and the lowest is the gas sample, option 4

Step-by-step explanation:

From the kinetic theory of gases we have;

`v_(rms) = \sqrt{(3\cdot R\cdot T)/(m) }`

Where;

`v_(rms)` = The root mean square velocity of the gas

T = Temperature of gas in Kelvin

m = Mass of atom or molecule in kilograms

R = The universal gas constant

Therefore,
`v_(rms)` ∝ T and
`v_(rms)` ∝ 1/m

a. Therefore, the gas with the highest average molecular speed has the highest temperature, 'T', and the lowest mass, 'm', therefore, we have;

The gas with the highest average molecular speed is the gas option 3. with only 0.128 moles of Ne in 5.69 L container at a temperature of 426 K

b. The gas with the lowest average molecular speed has the lowest temperature, 'T', and the highest mass, 'm', therefore, we have;

The gas with the lowest average molecular speed is the gas option 1. with only 0.564 moles of Ne in 5.33 L container at a temperature of 308 K

c. The gas with an average molecular speed between the highest and the lowest is the gas with intermediate temperature and mass within the given gas samples

Therefore, the gas with the average molecular speed between the highest and lowest is the gas option 4. with 0.322 moles of Ne in 4.00 L container at a temperature of 398 K